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We use princiles of fuzzy logic to develop a general model representing several processes in a system's operation characterized by a degree of vagueness and/or uncertainy. Further, we introduce three altenative measures of a fuzzy system's…

Artificial Intelligence · Computer Science 2012-12-12 Michael Gr. Voskoglou

We consider fuzzy valued functions from two parametric representations of $\alpha$-level sets. New concepts are introduced and compared with available notions. Following the two proposed approaches, we study fuzzy differential equations.…

General Mathematics · Mathematics 2024-07-29 Akbar H. Borzabadi , Mohammad Heidari , Delfim F. M. Torres

Rule-based models are essential for high-stakes decision-making due to their transparency and interpretability, but their discrete nature creates challenges for optimization and scalability. In this work, we present the Fuzzy Rule-based…

Machine Learning · Computer Science 2025-09-25 Javier Fumanal-Idocin , Raquel Fernandez-Peralta , Javier Andreu-Perez

This paper proposes a multi-class online fuzzy classifier for dynamic environments. A fuzzy classifier comprises a set of fuzzy if-then rules where human users determine the antecedent fuzzy sets beforehand. In contrast, the consequent real…

Machine Learning · Computer Science 2026-02-17 Kensuke Ajimoto , Yuma Yamamoto , Yoshifumi Kusunoki , Tomoharu Nakashima

Using the concept of fuzzy field, we have considered the fuzzy field of real and complex numbers and thereafter we have established a few standard results of real and complex numbers with respect to a membership function.

General Mathematics · Mathematics 2008-05-07 T. K. Samanta

The aim of this research is to apply a novel technique based on the embedding method to solve the n*n fuzzy system of linear equations (FSLEs). By using this method, the strong fuzzy number solutions of FSLEs can be obtained by transforming…

General Mathematics · Mathematics 2020-05-26 Nasser Mikaeilvand , Zahra Noeiaghdam , Samad Noeiaghdam , Juan J. Nieto

This article describes the fuzzy conformable fractional derivative which is based on generalized Hukuhara differentiability. On these topics, we prove a number of properties concerning this type of differentiability. In addition, fuzzy…

General Mathematics · Mathematics 2022-06-23 Hadi Eghlimi , Mohammad Sadegh Asgari

Modeling relations between components of 3D objects is essential for many geometry editing tasks. Existing techniques commonly rely on labeled components, which requires substantial annotation effort and limits components to a dictionary of…

Graphics · Computer Science 2018-07-05 Minhyuk Sung , Anastasia Dubrovina , Vladimir G. Kim , Leonidas Guibas

In a recent paper [1] we introduced the Fuzzy Bayesian Learning (FBL) paradigm where expert opinions can be encoded in the form of fuzzy rule bases and the hyper-parameters of the fuzzy sets can be learned from data using a Bayesian…

Machine Learning · Statistics 2017-04-07 Indranil Pan , Dirk Bester

The methods of extracting image features are the key to many image processing tasks. At present, the most popular method is the deep neural network which can automatically extract robust features through end-to-end training instead of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Xiang Ma , Liangzhe Chen , Zhaohong Deng , Peng Xu , Qisheng Yan , Kup-Sze Choi , Shitong Wang

The Fuzzy Modeling has been applied in a wide variety of fields such as Engineering and Management Sciences and Social Sciences to solve a number Decision Making Problems which involve impreciseness, uncertainty and vagueness in data. In…

Artificial Intelligence · Computer Science 2013-04-29 Arindam Chaudhuri , Kajal De , Dipak Chatterjee

The article discusses some applications of fuzzy logic ideas to formalizing of the Case-Based Reasoning (CBR) process and to measuring the effectiveness of CBR systems

Artificial Intelligence · Computer Science 2012-04-11 Igor Ya. Subbotin , Michael Gr. Voskoglou

This paper proposes two kinds of fuzzy abductive inference in the framework of fuzzy rule base. The abductive inference processes described here depend on the semantic of the rule. We distinguish two classes of interpretation of a fuzzy…

Artificial Intelligence · Computer Science 2007-05-23 Nedra Mellouli , Bernadette Bouchon-Meunier

In this paper we propose a novel approach for learning from data using rule based fuzzy inference systems where the model parameters are estimated using Bayesian inference and Markov Chain Monte Carlo (MCMC) techniques. We show the…

Machine Learning · Statistics 2018-06-25 Indranil Pan , Dirk Bester

Continuous word representation (aka word embedding) is a basic building block in many neural network-based models used in natural language processing tasks. Although it is widely accepted that words with similar semantics should be close to…

Computation and Language · Computer Science 2020-03-18 Chengyue Gong , Di He , Xu Tan , Tao Qin , Liwei Wang , Tie-Yan Liu

Few-shot relation extraction (FSRE) focuses on recognizing novel relations by learning with merely a handful of annotated instances. Meta-learning has been widely adopted for such a task, which trains on randomly generated few-shot tasks to…

Computation and Language · Computer Science 2021-10-26 Jiale Han , Bo Cheng , Wei Lu

Reinforcement Learning (RL) is an emerging approach to control many dynamical systems for which classical control approaches are not applicable or insufficient. However, the resultant policies may not generalize to variations in the…

Robotics · Computer Science 2023-11-13 Abdel Gafoor Haddad , Mohammed B. Mohiuddin , Igor Boiko , Yahya Zweiri

Taxonomy Expansion, which models complex concepts and their relations, can be formulated as a set representation learning task. The generalization of set, fuzzy set, incorporates uncertainty and measures the information within a semantic…

Machine Learning · Computer Science 2025-06-11 Fred Xu , Song Jiang , Zijie Huang , Xiao Luo , Shichang Zhang , Adrian Chen , Yizhou Sun

Career guidance for students, particularly in rural areas is a challenging issue in India. In the present era of digitalization, there is a need of an automated system that can analyze a student for his/her capabilities, suggest a career…

Computers and Society · Computer Science 2016-03-01 Raj Kishor Bisht

We study classes of graded structures satisfying the properties of amalgamation, joint embedding and hereditariness. Given appropriate conditions, we can build a graded analogue of the Fraisse limit. Some examples such as the class of all…

Logic · Mathematics 2018-09-24 Guillermo Badia , Carles Noguera